Dear Users,
I found a problem in symbolic summation using MMA 3.0.0.
A = Sum[ Exp[-k]/(1+k^3), {k,0,Infinity}]
The analitycal result, when evaluated numerically is
N[A,50] = 0.5344386.....
This is obviously wrong, in fact each term of the series is
positive, and the first (k=0) is equal 1.
Performing directly NSum, return 1.20111.....
Is this bug still present in MMA3.0.1?
luca ciotti
osservatorio astronomico di bologna
via zamboni 33, 40126 Bologna (italy)